Journal of Integer Sequences, Vol. 13 (2010), Article 10.8.4

The Restricted Toda Chain, Exponential Riordan Arrays, and Hankel Transforms

Paul Barry
School of Science
Waterford Institute of Technology


We re-interpret results on the classification of Toda chain solutions given by Sheffer class orthogonal polynomials in terms of exponential Riordan arrays. We also examine associated Hankel transforms.

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(Concerned with sequences A000045 A000142 A000262 A007318 A021009 A094587 A094816 A111596 A111884.)

Received May 27 2010; revised version received August 3 2010. Published in Journal of Integer Sequences, August 4 2010.

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